The long, straight wire AB shown in the following figure carries a current of I
ID: 1376831 • Letter: T
Question
The long, straight wire AB shown in the following figure carries a current of I1 = 12.0 A. The rectangular loop whose long edges are parallel to the wire carries a current of I2 = 5.40 A. Find the magnitude and direction of the net force exerted on the loop by the magnetic field of the wire.
magnitude T direction The long, straight wire AB shown in the following figure carries a current of I1 = 12.0 A. The rectangular loop whose long edges are parallel to the wire carries a current of I2 = 5.40 A. Find the magnitude and direction of the net force exerted on the loop by the magnetic field of the wire. magnitude T directionExplanation / Answer
magnetic force on upper segment, Fupper = mue*I1*I2*L/(2*pi*d1)
= 4*pi*10^-7*12*5.4*0.2/(2*pi*0.026)
= 9.97*10^-5 N (upward)
magnetic force on lower segment, Flower = mue*I1*I2*L/(2*pi*d2)
= 4*pi*10^-7*12*5.4*0.2/(2*pi*0.1)
= 2.59*10^-5 N(downward)
magnetic force on left and right segments will be equal in magnitude and acts opposite direction.
Fnet = Fuper - Flower
= (9.97-2.59)*10^-5
= 7.38*10^-5 N (upward)
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